Heine-Borel theorem

Heine-Borel theorem
/huy"neuh baw rel", -beuh-/, Math.
the theorem that in a metric space every covering consisting of open sets that covers a closed and compact set has a finite collection of subsets that covers the given set. Also called Borel-Lebesque theorem.
[named after Eduard Heine (1821-81), German mathematician and Émile Borel (1871-1956), French mathematician]

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Universalium. 2010.

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